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Finding the Fourth Proportional to 2,021.46, 3,030.62 and 925.53

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Solution

The fourth proportional to 2,021.46, 3,030.62 and 925.53 is: 1,387.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.46 : 3,030.62 = 925.53 : x
  2. Step 2: Convert to fraction form
    2,021.46/3,030.62 = 925.53/x
  3. Step 3: Cross multiply
    2,021.46x = 3,030.62 × 925.53
  4. Step 4: Simplify right side
    2,021.46x = 2,804,913.74
  5. Step 5: Solve for x
    x = 2,804,913.74/2,021.46
  6. Step 6: Final answer
    x = 1,387.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.